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Families of finite-dimensional Hopf algebras with the Chevalley property
Families of finite-dimensional Hopf algebras Chevalley property
2011/1/17
We introduce and study families of finite-dimensional Hopf algebras with the Chevalley property arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples introduced in...
Injectivity of a certain cycle map for finite dimensional W-algebras
Injectivity certain cycle map finite dimensional W-algebras
2010/12/6
We study a certain cycle map defined on finite dimensional modules for the W-algebra with regular integral central character. Via comparison with the theory in postive characteristic, we show that thi...
Simultaneous Embeddings of Finite Dimensional Division Algebras
Simultaneous Embeddings Finite Dimensional Division Algebras
2010/12/1
A celebrated theorem of P.M. Cohn [C] says that for any two division rings (not necessarily finite dimensional) over a field F, their amalgamated product over F is a domain which can be embedded in a ...